Question

A rectangle has the dimensions shown. Which kind of expression represents the area of the rectangle?

Answer 1

`S=(6x-1)(3x+2)\:\:  or\:\:   S=18x^2+12x-3x-2`

Explanation:

1) Since the Surface of a Rectangle is found by S=base*height We can find it by the product of value of the base times the height.

`S=b*h\Rightarrow S=(6x-1)(3x+2)\Rightarrow S=18x^2+12x-3x-2\Rightarrow S=18x^(2)+9x-2`

This quadratic equation can be written either in factors or in its expanded mode.

Answer 2

Quadratic expression

Explanation:

We are given a rectangle with the dimensions
`3x+2` and
`6x-1`.

We know that:

Area of a rectangle = length x width

Therefore, we will put in the given values of the length and width of the rectangle to find it area.

Area of rectangle =
`(3x+2)(6x-1)`

=
`18x^2-3x+12x-2`

=
`18x+9x-2`

So we can say that the area of this rectangle is represented by a quadratic expression.